Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential -Invexity

Shun-Chin Ho

Journal of Applied Mathematics, 2013, vol. 2013, 1-7

Abstract:

We study nonsmooth multiobjective fractional programming problem containing local Lipschitz exponential -invex functions with respect to and . We introduce a new concept of nonconvex functions, called exponential -invex functions. Base on the generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient solution. Furthermore, employing optimality conditions to perform Mond-Weir type duality model and prove the duality theorems including weak duality, strong duality, and strict converse duality theorem under exponential -invexity assumptions. Consequently, the optimal values of the primal problem and the Mond-Weir type duality problem have no duality gap under the framework of exponential -invexity.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:237428

DOI: 10.1155/2013/237428

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